Projectile with Drag
continuous-flows · 37 views
continuous-flowsquasiperiodic
What It Is
Ballistic arcs with quadratic air resistance --- asymmetric trajectories, terminal velocity approach
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); low-complexity (predictable, not noise-like); time-irreversible (sharp rises, slow decay); volatility-clustering (bursty). The atlas additionally detects Multifractal Spectrum:hurst_estimate. It sits beside Spring Pendulum in the atlas (standard-bank rank 21) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.47
asymmetry0.78
occupancy0.82
short-range corr0.97
long-range memory0.94
spectral colour0.17
periodicity0.61
complexity0.07
time-irreversibility0.94
volatility clustering0.95
multifractality0.73
dimensionality0.23
nonstationarity0.77
What the atlas adds
Multifractal Spectrum:hurst_estimate+2.4z
self-affinity H = τ(2)/2 (alternate to Hölder hurst)
Atlas-extreme metrics the standard bank can’t predict for this source
Visibility Graph:avg_clustering_coeff | -5.2z | bank-miss 1.2σ |
Hölder Regularity:holder_min | +2.4z | bank-miss 1.1σ |
Composition
dtypefloat64
range[0, 38.24]
unique values16340 / 16384
mean ± std13.4 ± 8.92
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Projectile_with_Drag.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Projectile_with_Drag.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Projectile_with_Drag.png)
Inflation (Substitution) > barcode
/d_curve/Projectile_with_Drag.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Projectile_with_Drag.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Projectile_with_Drag.png)
Ulam Spiral (Sacks) > default
/default/Projectile_with_Drag.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Magnetic Pendulum (3-Magnet) | 3.15 | |
| Double Pendulum | 3.43 | |
| Spring Pendulum | 3.43 |
Which Geometries Light Up
Visibility Graph › Visibility Graph:avg_clustering_coeff | rank 305/307 | 0.1376 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources